The hp-Version of the Streamline Diffusion Finite Element Method in Two Space Dimensions
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Date
1999-09
Publication Type
Report
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yes
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Abstract
The Streamline Diffusion Finite Element Method (SDFEM) for a two dimensional convection-diffusion problem is analyzed in the context of the hp-version of the Finite Element Method (FEM). It is proved that the appropriate choice of the SDFEM parameters leads to stable methods on the class of "boundary layer meshes" which may contain anisotropic needle elements of arbitrarily high aspect ratio. Consistency results show that the use of such meshes can resolve layer components present in the solutions at robust exponential rates of convergence. We confirm these theoretical results in a series of numerical examples.
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published
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Journal / series
Volume
1999-17
Pages / Article No.
Publisher
Seminar for Applied Mathematics, ETH Zurich
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Methods
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Subject
Streamline Diffusion Methods; hp Finite Element Methods
Organisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
03435 - Schwab, Christoph / Schwab, Christoph